Essential Thing Mathematics Formulae For Students
Basic Maths FormulaeĀ generally used in everywhere in mathematics. Basic fundamental math formulae for students.
1. (Ī±+Š²)Ā²= Ī±Ā²+2Ī±Š²+Š²Ā²
2. (Ī±+Š²)Ā²= (Ī±-Š²)Ā²+4Ī±Š²
3. (Ī±-Š²)Ā²= Ī±Ā²-2Ī±Š²+Š²Ā²
4. (Ī±-Š²)Ā²= (Ī±+Š²)Ā²-4Ī±Š²
5. Ī±Ā² + Š²Ā²= (Ī±+Š²)Ā² – 2Ī±Š².
6. Ī±Ā² + Š²Ā²= (Ī±-Š²)Ā² + 2Ī±Š².
7. Ī±Ā²-Š²Ā² =(Ī± + Š²)(Ī± – Š²)
8. 2(Ī±Ā² + Š²Ā²) = (Ī±+ Š²)Ā² + (Ī± – Š²)Ā²
9. 4Ī±Š² = (Ī± + Š²)Ā² – (Ī±-Š²)Ā²
10. Ī±Š² ={(Ī±+Š²)/2}Ā²-{(Ī±-Š²)/2}Ā²
11. (Ī± + Š² + Ā¢)Ā² = Ī±Ā² + Š²Ā² + Ā¢Ā² + 2(Ī±Š² + Š²Ā¢ + Ā¢Ī±)
12. (Ī± + Š²)Ā³ = Ī±Ā³ + 3Ī±Ā²Š² + 3Ī±Š²Ā² + Š²Ā³
13. (Ī± + Š²)Ā³ = Ī±Ā³ + Š²Ā³ + 3Ī±Š²(Ī± + Š²)
14. (Ī±-Š²)Ā³=Ī±Ā³-3Ī±Ā²Š²+3Ī±Š²Ā²-Š²Ā³
15. Ī±Ā³ + Š²Ā³ = (Ī± + Š²) (Ī±Ā² – Ī±Š² + Š²Ā²)
16. Ī±Ā³ + Š²Ā³ = (Ī±+ Š²)Ā³ – 3Ī±Š²(Ī±+ Š²)
17. Ī±Ā³ – Š²Ā³ = (Ī± – Š²) (Ī±Ā² + Ī±Š² + Š²Ā²)
18. Ī±Ā³ – Š²Ā³ = (Ī±-Š²)Ā³ + 3Ī±Š²(Ī±-Š²)
ŃĪ¹Ī·0Ā° =0
ŃĪ¹Ī·30Ā° = 1/2
ŃĪ¹Ī·45Ā° = 1/ā2
ŃĪ¹Ī·60Ā° = ā3/2
ŃĪ¹Ī·90Ā° = 1
Ā¢ĻŃ Ī¹Ń ĻĻĻĻŃĪ¹ŃŃ ĻĘ ŃĪ¹Ī·
ŃĪ±Ī·0Ā° = 0
ŃĪ±Ī·30Ā° = 1/ā3
ŃĪ±Ī·45Ā° = 1
ŃĪ±Ī·60Ā° = ā3
ŃĪ±Ī·90Ā° = ā
Ā¢ĻŃ Ī¹Ń ĻĻĻĻŃĪ¹ŃŃ ĻĘ ŃĪ±Ī·
ŃŃĀ¢0Ā° = 1
ŃŃĀ¢30Ā° = 2/ā3
ŃŃĀ¢45Ā° = ā2
ŃŃĀ¢60Ā° = 2
ŃŃĀ¢90Ā° = ā
Ā¢ĻŃŃĀ¢ Ī¹Ń ĻĻĻĻŃĪ¹ŃŃ ĻĘ ŃŃĀ¢
2ŃĪ¹Ī·Ī±Ā¢ĻŃŠ²=ŃĪ¹Ī·(Ī±+Š²)+ŃĪ¹Ī·(Ī±-Š²)
2Ā¢ĻŃĪ±ŃĪ¹Ī·Š²=ŃĪ¹Ī·(Ī±+Š²)- ŃĪ¹Ī·(Ī±-Š²)
2Ā¢ĻŃĪ±Ā¢ĻŃŠ²=Ā¢ĻŃ(Ī±+Š²)+Ā¢ĻŃ(Ī±-Š²)
2ŃĪ¹Ī·Ī±ŃĪ¹Ī·Š²=Ā¢ĻŃ(Ī±-Š²)- Ā¢ĻŃ(Ī±+Š²)
ŃĪ¹Ī·(Ī±+Š²)=ŃĪ¹Ī·Ī± Ā¢ĻŃŠ²+ Ā¢ĻŃĪ± ŃĪ¹Ī·Š².
Ā» Ā¢ĻŃ(Ī±+Š²)=Ā¢ĻŃĪ± Ā¢ĻŃŠ² – ŃĪ¹Ī·Ī± ŃĪ¹Ī·Š².
Ā» ŃĪ¹Ī·(Ī±-Š²)=ŃĪ¹Ī·Ī±Ā¢ĻŃŠ²-Ā¢ĻŃĪ±ŃĪ¹Ī·Š².
Ā» Ā¢ĻŃ(Ī±-Š²)=Ā¢ĻŃĪ±Ā¢ĻŃŠ²+ŃĪ¹Ī·Ī±ŃĪ¹Ī·Š².
Ā» ŃĪ±Ī·(Ī±+Š²)= (ŃĪ±Ī·Ī± + ŃĪ±Ī·Š²)/ (1āŃĪ±Ī·Ī±ŃĪ±Ī·Š²)
Ā» ŃĪ±Ī·(Ī±āŠ²)= (ŃĪ±Ī·Ī± ā ŃĪ±Ī·Š²) / (1+ ŃĪ±Ī·Ī±ŃĪ±Ī·Š²)
Ā» Ā¢ĻŃ(Ī±+Š²)= (Ā¢ĻŃĪ±Ā¢ĻŃŠ² ā1)/(Ā¢ĻŃĪ± + Ā¢ĻŃŠ²)
Ā» Ā¢ĻŃ(Ī±āŠ²)= (Ā¢ĻŃĪ±Ā¢ĻŃŠ² + 1)/(Ā¢ĻŃŠ²ā Ā¢ĻŃĪ±)
Ā» ŃĪ¹Ī·(Ī±+Š²)=ŃĪ¹Ī·Ī± Ā¢ĻŃŠ²+ Ā¢ĻŃĪ± ŃĪ¹Ī·Š².
Ā» Ā¢ĻŃ(Ī±+Š²)=Ā¢ĻŃĪ± Ā¢ĻŃŠ² +ŃĪ¹Ī·Ī± ŃĪ¹Ī·Š².
Ā» ŃĪ¹Ī·(Ī±-Š²)=ŃĪ¹Ī·Ī±Ā¢ĻŃŠ²-Ā¢ĻŃĪ±ŃĪ¹Ī·Š².
Ā» Ā¢ĻŃ(Ī±-Š²)=Ā¢ĻŃĪ±Ā¢ĻŃŠ²+ŃĪ¹Ī·Ī±ŃĪ¹Ī·Š².
Ā» ŃĪ±Ī·(Ī±+Š²)= (ŃĪ±Ī·Ī± + ŃĪ±Ī·Š²)/ (1āŃĪ±Ī·Ī±ŃĪ±Ī·Š²)
Ā» ŃĪ±Ī·(Ī±āŠ²)= (ŃĪ±Ī·Ī± ā ŃĪ±Ī·Š²) / (1+ ŃĪ±Ī·Ī±ŃĪ±Ī·Š²)
Ā» Ā¢ĻŃ(Ī±+Š²)= (Ā¢ĻŃĪ±Ā¢ĻŃŠ² ā1)/(Ā¢ĻŃĪ± + Ā¢ĻŃŠ²)
Ā» Ā¢ĻŃ(Ī±āŠ²)= (Ā¢ĻŃĪ±Ā¢ĻŃŠ² + 1)/(Ā¢ĻŃŠ²ā Ā¢ĻŃĪ±)
Ī±/ŃĪ¹Ī·Ī± = Š²/ŃĪ¹Ī·Š² = Ā¢/ŃĪ¹Ī·Ā¢ = 2Ń
Ā» Ī± = Š² Ā¢ĻŃĀ¢ + Ā¢ Ā¢ĻŃŠ²
Ā» Š² = Ī± Ā¢ĻŃĀ¢ + Ā¢ Ā¢ĻŃĪ±
Ā» Ā¢ = Ī± Ā¢ĻŃŠ² + Š² Ā¢ĻŃĪ±
Ā» Ā¢ĻŃĪ± = (Š²Ā² + Ā¢Ā²ā Ī±Ā²)/2Š²Ā¢
Ā» Ā¢ĻŃŠ² = (Ā¢Ā² + Ī±Ā²ā Š²Ā²)/2Ā¢Ī±
Ā» Ā¢ĻŃĀ¢ = (Ī±Ā² + Š²Ā²ā Ā¢Ā²)/2Ā¢Ī±
Ā» Ī = Ī±Š²Ā¢/4Ń
Ā» ŃĪ¹Ī·Ī = 0 ŃŠ½ŃĪ·,Īø = Ī·Ļ
Ā» ŃĪ¹Ī·Ī = 1 ŃŠ½ŃĪ·,Īø = (4Ī· + 1)Ļ/2
Ā» ŃĪ¹Ī·Ī =ā1 ŃŠ½ŃĪ·,Īø = (4Ī·ā 1)Ļ/2
Ā» ŃĪ¹Ī·Ī = ŃĪ¹Ī·Ī± ŃŠ½ŃĪ·,Ī = Ī·Ī (ā1)^Ī·Ī±
1. ŃĪ¹Ī·2Ī± = 2ŃĪ¹Ī·Ī±Ā¢ĻŃĪ±
2. Ā¢ĻŃ2Ī± = Ā¢ĻŃĀ²Ī± ā ŃĪ¹Ī·Ā²Ī±
3. Ā¢ĻŃ2Ī± = 2Ā¢ĻŃĀ²Ī± ā 1
4. Ā¢ĻŃ2Ī± = 1 ā ŃĪ¹Ī·Ā²Ī±
5. 2ŃĪ¹Ī·Ā²Ī± = 1 ā Ā¢ĻŃ2Ī±
6. 1 + ŃĪ¹Ī·2Ī± = (ŃĪ¹Ī·Ī± + Ā¢ĻŃĪ±)Ā²
7. 1 ā ŃĪ¹Ī·2Ī± = (ŃĪ¹Ī·Ī± ā Ā¢ĻŃĪ±)Ā²
8. ŃĪ±Ī·2Ī± = 2ŃĪ±Ī·Ī±/(1 ā ŃĪ±Ī·Ā²Ī±)
9. ŃĪ¹Ī·2Ī± = 2ŃĪ±Ī·Ī±/(1 + ŃĪ±Ī·Ā²Ī±)
10. Ā¢ĻŃ2Ī± = (1 ā ŃĪ±Ī·Ā²Ī±)/(1 + ŃĪ±Ī·Ā²Ī±)
11. 4ŃĪ¹Ī·Ā³Ī± = 3ŃĪ¹Ī·Ī± ā ŃĪ¹Ī·3Ī±
12. 4Ā¢ĻŃĀ³Ī± = 3Ā¢ĻŃĪ± + Ā¢ĻŃ3Ī±
Ā» ŃĪ¹Ī·Ā²Īø+Ā¢ĻŃĀ²Īø=1
Ā» ŃŃĀ¢Ā²Īø-ŃĪ±Ī·Ā²Īø=1
Ā» Ā¢ĻŃŃĀ¢Ā²Īø-Ā¢ĻŃĀ²Īø=1
Ā» ŃĪ¹Ī·Ī=1/Ā¢ĻŃŃĀ¢Īø
Ā» Ā¢ĻŃŃĀ¢Ī=1/ŃĪ¹Ī·Īø
Ā» Ā¢ĻŃĪ=1/ŃŃĀ¢Īø
Ā» ŃŃĀ¢Ī=1/Ā¢ĻŃĪø
Ā» ŃĪ±Ī·Ī=1/Ā¢ĻŃĪø
Ā» Ā¢ĻŃĪ=1/ŃĪ±Ī·Īø
Ā» ŃĪ±Ī·Ī=ŃĪ¹Ī·Ī/Ā¢ĻŃĪ
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